Question

6. Rezolvaţi inecuaţiile:
2x-3>1+3x,x € R
6-2x x+1/2,x € N
x/3+1>x+1/2,x€ N​

Answer 1

Răspuns:

$2x - 3 > 1 + 3x \\ 2x - 3x > 1 + 3 \\ - x > 4 \\ x < - 4$

$6 - 2x > \frac{x + 1}{2} \\ 12 - 4x > x + 1 \\ - 4x - x > 1 - 12 \\ - 5x > - 11 \\ x < \frac{11}{5}$

$\frac{x}{3} + 1 > \frac{x + 1}{2} \\ 2x + 6> 3(x + 1) \\ 2x + 6 > 3x + 3 \\ 2x - 3x > 3 - 6 \\ - x > - 3 \\ x < 3$

Answer 2

Răspuns:

Explicație pas cu pas: